TY - JOUR

T1 - Supergravity and a confining gauge theory

T2 - Duality cascades and χSB-resolution of naked singularities

AU - Klebanov, Igor R.

AU - Strassler, Matthew J.

N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2000

Y1 - 2000

N2 - We revisit the singular IIB supergravity solution describing M-fractional 3-branes on the conifold [hep-th/0002159]. Its 5-form flux decreases, which we explain by showing that the relevant N = 1 SUSY SU(N + M) x SU(N) gauge theory undergoes repeated Seiberg-duality transformations in which N → N - M. Far in the IR the gauge theory confines; its chiral symmetry breaking removes the singularity of [hep-th/0002159] by deforming the conifold. We propose a non-singular pure-supergravity background dual to the field theory on all scales, with small curvature everywhere if the 't Hooft coupling gsM is large. In the UV it approaches that of [hep-th/0002159], incorporating the logarithmic flow of couplings. In the IR the deformation of the conifold gives a geometrical realization of chiral symmetry breaking and confinement. We suggest that pure N = 1 Yang-Mills may be dual to strings propagating at small gsM on a warped deformed conifold. We note also that the standard model itself may lie at the base of a duality cascade.

AB - We revisit the singular IIB supergravity solution describing M-fractional 3-branes on the conifold [hep-th/0002159]. Its 5-form flux decreases, which we explain by showing that the relevant N = 1 SUSY SU(N + M) x SU(N) gauge theory undergoes repeated Seiberg-duality transformations in which N → N - M. Far in the IR the gauge theory confines; its chiral symmetry breaking removes the singularity of [hep-th/0002159] by deforming the conifold. We propose a non-singular pure-supergravity background dual to the field theory on all scales, with small curvature everywhere if the 't Hooft coupling gsM is large. In the UV it approaches that of [hep-th/0002159], incorporating the logarithmic flow of couplings. In the IR the deformation of the conifold gives a geometrical realization of chiral symmetry breaking and confinement. We suggest that pure N = 1 Yang-Mills may be dual to strings propagating at small gsM on a warped deformed conifold. We note also that the standard model itself may lie at the base of a duality cascade.

KW - AdS-CFT Correspondance

KW - Confinement

KW - Duality in Gauge Field Theories

KW - Non-perturbative Effects

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U2 - 10.1088/1126-6708/2000/08/052

DO - 10.1088/1126-6708/2000/08/052

M3 - Article

AN - SCOPUS:4243856559

VL - 4

SP - 21

EP - 35

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 8 PART B

ER -